### 10.3 Professional Sports

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• 1. Calculating Batting Averages

The 2010 hitting statistics of 10 Major League Baseball players are shown.

Which player had the greatest batting average (AVG) in 2010? (See Example 1 and Example 2.)

• Worked-Out Solution

To find the batting average for a player, divide hits by at bats. The formula is

Using a spreadsheet, you can calculate the batting average for each player.

With a batting average of 0.359, Josh Hamilton had the greatest batting average among the players in the table. Incidentally, Josh Hamilton's batting average was also the greatest batting average of any player in Major League Baseball in 2010.

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```  _  __     ___     _____       ___     _____
| |/ //   / _ \\  |  __ \\    / _ \\  |  __ \\
| ' //   / //\ \\ | |  \ ||  | / \ || | |  \ ||
| . \\  |  ___  ||| |__/ ||  | \_/ || | |__/ ||
|_|\_\\ |_||  |_|||_____//    \___//  |_____//
`-` --` `-`   `-`  -----`     `---`    -----`

```
• 2. Calculating Slugging Percentage

The 2010 hitting statistics of 10 Major League Baseball players are shown.

Slugging percentage (SLG) is a statistic used to measure the power of a hitter. The formula to calculate slugging percentage is shown. Find the slugging percentage for each player. (See Example 1 and Example 2.)

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```           __   __   __   __    _____    _    _
___    \ \\/ //  \ \\/ //  |  ___|| | || | ||
/   ||   \ ` //    \   //   | ||__   | || | ||
| [] ||    | ||     / . \\   | ||__   | \\_/ ||
\__ ||    |_||    /_//\_\\  |_____||  \____//
-|_||    `-`'    `-`  --`  `-----`    `---`
`-`
```
• 3. Calculating On-Base Percentages

The 2010 hitting statistics of 10 Major League Baseball players are shown.

On-base percentage (OBP) is a statistic used to measure how often a player reaches base. The formula to calculate on base percentage is shown. Find the on-base percentage for each player. (See Example 1 and Example 2.)

• Worked-Out Solution

Using a spreadsheet, you can calculate the on-base percentage for each player.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```             ___      _____      ___     _____
___     / _ \\   |__  //    / _ \\  |  __ \\
/   ||  | / \ ||    / //    / //\ \\ | |  \ ||
| [] ||  | \_/ ||   / //__  |  ___  ||| |__/ ||
\__ ||   \___//   /_____|| |_||  |_|||_____//
-|_||   `---`    `-----`  `-`   `-`  -----`
`-`
```
• 4. Most Valuable Player

The 2010 hitting statistics of 10 Major League Baseball players are shown.

Considering AVG, SLG, and OBP, which player would you choose as the most valuable player (MVP)? Explain your reasoning. (See Examples 1 and Example 2.)

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```  _____      ___     _    _      ___      _____
|__  //    / _ \\  | |  | ||   / _ \\   /  ___||
/ //    / //\ \\ | |/\| ||  / //\ \\ | // __
/ //__  |  ___  |||  /\  || |  ___  ||| \\_\ ||
/_____|| |_||  |_|||_// \_|| |_||  |_|| \____//
`-----`  `-`   `-` `-`   `-` `-`   `-`   `---`

```
• 5. On-Base Percentage Less than Batting Average

The 2010 hitting statistics of 10 Major League Baseball players are shown.

Is it possible for a player to have an on-base percentage that is less than his AVG? Explain your reasoning. (See Example 1 and Example 2.)

• Worked-Out Solution

Not only is it possible for a player to have an on-base percentage less than his batting average, it has actually happened. Consider for instance the following statistics for player Ernie Bowman from 1963.

Sacrifice flies lower a player's on-base percentage. If a player has a high enough number of sacrifice flies, his on-base percentage can be less than his batting average.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

``` _    _    _    _     ______    _____    _    _
| |  | || | || | ||  /_   _//  |  ___|| | |  | ||
| |/\| || | || | ||    | ||    | ||__   | |/\| ||
|  /\  || | \\_/ ||   _| ||    | ||__   |  /\  ||
|_// \_||  \____//   /__//     |_____|| |_// \_||
`-`   `-`   `---`    `--`      `-----`  `-`   `-`

```
• 6. Stolen Base Percentage

The 2010 hitting statistics of 10 Major League Baseball players are shown.

Albert Pujols had a stolen base percentage (SB%) of 77.8%. Write a formula using abbreviations to calculate SB%. (See Examples 1 and Example 2.)

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```            ______              ______    _  _